Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808bf |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-316991583216 = -1 · 24 · 37 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-27097] |
[a1,a2,a3,a4,a6] |
j |
-256/231 |
j-invariant |
L |
3.4860946972143 |
L(r)(E,1)/r! |
Ω |
0.43576183714734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bm1 12936m1 5544f1 |
Quadratic twists by: -4 -3 -7 |